Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/598, 6948/5994 quickly i.e. 350874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/598, 6948/5994 is 350874.
LCM(202/598, 6948/5994) = 350874
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/598,6948/5994
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 202,6948
Least Common Multiple of Numerators i.e. LCM of 202,6948 is 701748.
GCF of Denominators means GCF of 598,5994 as per the given fractions.
GCF of 598,5994 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,6948
2 | 202, 6948 |
101, 3474 |
∴ So the LCM of the given numbers is 2 x 101 x 3474 = 701748
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 202,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6948) x common factors =2 x 1 = 2
LCM(202,6948) = ( 202 × 6948 ) / 2
LCM(202,6948) = 1403496 / 2
LCM(202,6948) = 701748
Lets's calculate GCF of 598,5994
2 | 598, 5994 |
299, 2997 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 701748/2
Therefore the LCM of Fractions 202/598,6948/5994 is 350874
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 5994
List of positive integer factors of 5994 that divides 5994 without a remainder.
1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994
Greatest Common Factor
We found the factors 598,5994 . The biggest common factor number is the GCF number.
So the greatest common factor 598,5994 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 202/598, 6948/5994?
Answer: LCM of Numerators as per given numbers 202/598, 6948/5994 is
LCM of Numerators i.e. for 202,6948 is 701748
GCF of denominators i.e. for 598,5994 is 2.
Thus, LCM of Fractions is 350874.Finally, LCM of Fractions for 202/598, 6948/5994 is 350874.